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Finding the Third Proportional to 148,034,310 and 320,780,616

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Solution

The third proportional to 148,034,310 and 320,780,616 is: 695,110,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034,310 : 320,780,616 = 320,780,616 : x
  2. Step 2: Convert to fraction form
    148,034,310/320,780,616 = 320,780,616/x
  3. Step 3: Cross multiply
    148,034,310x = 320,780,616 × 320,780,616
  4. Step 4: Simplify right side
    148,034,310x = 102,900,203,601,339,456
  5. Step 5: Solve for x
    x = 102,900,203,601,339,456/148,034,310
  6. Step 6: Final answer
    x = 695,110,502.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.